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3x+2y-50x=0
Subtract 50x from both sides.
-47x+2y=0
Combine 3x and -50x to get -47x.
-47x=-2y
Subtract 2y from both sides. Anything subtracted from zero gives its negation.
\frac{-47x}{-47}=-\frac{2y}{-47}
Divide both sides by -47.
x=-\frac{2y}{-47}
Dividing by -47 undoes the multiplication by -47.
x=\frac{2y}{47}
Divide -2y by -47.
2y=50x-3x
Subtract 3x from both sides.
2y=47x
Combine 50x and -3x to get 47x.
\frac{2y}{2}=\frac{47x}{2}
Divide both sides by 2.
y=\frac{47x}{2}
Dividing by 2 undoes the multiplication by 2.